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380172624 = 24313718581
BaseRepresentation
bin10110101010001…
…111100101010000
3222111100202210120
4112222033211100
51234311010444
6101420230240
712264261666
oct2652174520
9874322716
10380172624
11185663357
12a739b380
13609bb920
14386c2c36
1523598b19
hex16a8f950

380172624 has 80 divisors (see below), whose sum is σ = 1072681344. Its totient is φ = 115315200.

The previous prime is 380172607. The next prime is 380172641. The reversal of 380172624 is 426271083.

It is an interprime number because it is at equal distance from previous prime (380172607) and next prime (380172641).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40014 + ... + 48594.

Almost surely, 2380172624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380172624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536340672).

380172624 is an abundant number, since it is smaller than the sum of its proper divisors (692508720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380172624 is a wasteful number, since it uses less digits than its factorization.

380172624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8676 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 380172624 is about 19498.0158990601. The cubic root of 380172624 is about 724.4253069190.

The spelling of 380172624 in words is "three hundred eighty million, one hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 8581 11076 14768 17162 22152 25743 34324 44304 51486 68648 102972 111553 137296 205944 223106 334659 411888 446212 609251 669318 892424 1218502 1338636 1784848 1827753 2437004 2677272 3655506 4874008 5354544 7311012 7920263 9748016 14622024 15840526 23760789 29244048 31681052 47521578 63362104 95043156 126724208 190086312 380172624